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Finding the Third Proportional to 132,648,569 and 285,452,530

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Solution

The third proportional to 132,648,569 and 285,452,530 is: 614,278,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,648,569 : 285,452,530 = 285,452,530 : x
  2. Step 2: Convert to fraction form
    132,648,569/285,452,530 = 285,452,530/x
  3. Step 3: Cross multiply
    132,648,569x = 285,452,530 × 285,452,530
  4. Step 4: Simplify right side
    132,648,569x = 81,483,146,883,400,896
  5. Step 5: Solve for x
    x = 81,483,146,883,400,896/132,648,569
  6. Step 6: Final answer
    x = 614,278,371.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.